137412840 has 32 divisors (see below), whose sum is σ = 412238880. Its totient is φ = 36643392.

The previous prime is 137412839. The next prime is 137412851. The reversal of 137412840 is 48214731.

137412840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 137412798 and 137412807.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572434 + ... + 572673.

It is an arithmetic number, because the mean of its divisors is an integer number (12882465).

Almost surely, 2^137412840 is an apocalyptic number.

137412840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137412840 is an abundant number, since it is smaller than the sum of its proper divisors (274826040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137412840 is a wasteful number, since it uses less digits than its factorization.

137412840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145121 (or 1145117 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 137412840 is about 11722.3222955181. The cubic root of 137412840 is about 516.0309758461.

The spelling of 137412840 in words is "one hundred thirty-seven million, four hundred twelve thousand, eight hundred forty".